456473072 has 40 divisors (see below), whose sum is σ = 966031920. Its totient is φ = 207226880.

The previous prime is 456473063. The next prime is 456473093. The reversal of 456473072 is 270374654.

It is a super-2 number, since 2×456473072² = 416735330922234368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240704 + ... + 242592.

It is an arithmetic number, because the mean of its divisors is an integer number (24150798).

Almost surely, 2^456473072 is an apocalyptic number.

It is an amenable number.

456473072 is an abundant number, since it is smaller than the sum of its proper divisors (509558848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456473072 is a wasteful number, since it uses less digits than its factorization.

456473072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The square root of 456473072 is about 21365.2304457499. The cubic root of 456473072 is about 769.9663065034.

The spelling of 456473072 in words is "four hundred fifty-six million, four hundred seventy-three thousand, seventy-two".